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Finding the Fourth Proportional to 101,652.75, 140,280.80 and 56,940.75

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Solution

The fourth proportional to 101,652.75, 140,280.80 and 56,940.75 is: 78,578.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,652.75 : 140,280.80 = 56,940.75 : x
  2. Step 2: Convert to fraction form
    101,652.75/140,280.80 = 56,940.75/x
  3. Step 3: Cross multiply
    101,652.75x = 140,280.80 × 56,940.75
  4. Step 4: Simplify right side
    101,652.75x = 7,987,693,677.90
  5. Step 5: Solve for x
    x = 7,987,693,677.90/101,652.75
  6. Step 6: Final answer
    x = 78,578.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.